Abstract
1. 1. Introduction. The purpose of this part of my talk is to outline some of the recent results concerning the projection-and the approximation-solvability of nonlinear functional equations in normed linear spaces. We first state a general theorem on projectional-solvability proved in [15] which at the same time unites the earlier results on linear equations obtained in [11, 18, 10, 6, 13](*) with the recent results on nonlinear monotone operatirs obtained in [7, 12, 2, 3, 19, 14].
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Petryshyn, W.V. (2010). On the Approximation-Solvability of Nonlinear Functional Equations in Normed Linear Spaces. In: Lions, J.L. (eds) Numerical Analysis of Partial Differential Equations. C.I.M.E. Summer Schools, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11057-3_15
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DOI: https://doi.org/10.1007/978-3-642-11057-3_15
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